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A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations
Sun, Yongzhong ; Wang, Chao ; Zhang, Zhifei
2011
关键词Blow-up criterion Compressible Navier-Stokes equations Lame system Strong solution BOUNDARY-VALUE-PROBLEMS CLASSICAL-SOLUTIONS GLOBAL-SOLUTIONS WEAK SOLUTIONS REGULARITY FLUIDS EXISTENCE BMO
英文摘要We prove a blow-up criterion in terms of the upper bound of the density for the strong solution to the 3-D compressible Navier-Stokes equations. The initial vacuum is allowed. The main ingredient of the proof is a priori estimate for an important quantity under the assumption that the density is upper bounded, whose divergence can be viewed as the effective viscous flux. (C) 2010 Elsevier Masson SAS. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000286698500003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; Mathematics; SCI(E); 62; ARTICLE; 1; 36-47; 95
语种英语
出处SCI
出版者纯数学与应用数学杂志
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/241163]  
专题数学科学学院
推荐引用方式
GB/T 7714
Sun, Yongzhong,Wang, Chao,Zhang, Zhifei. A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations. 2011-01-01.
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